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Finding the Fourth Proportional to 535,662.32, 803,540.64 and 198,706.64

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Solution

The fourth proportional to 535,662.32, 803,540.64 and 198,706.64 is: 298,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,662.32 : 803,540.64 = 198,706.64 : x
  2. Step 2: Convert to fraction form
    535,662.32/803,540.64 = 198,706.64/x
  3. Step 3: Cross multiply
    535,662.32x = 803,540.64 × 198,706.64
  4. Step 4: Simplify right side
    535,662.32x = 159,668,860,677.85
  5. Step 5: Solve for x
    x = 159,668,860,677.85/535,662.32
  6. Step 6: Final answer
    x = 298,077.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.